1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
blagie [28]
3 years ago
8

The life of a semiconductor laser at a constant power is normally distributed with a mean of 7,000 hours and a standard deviatio

n of 600 hours. If three lasers are used in a product and they are assumed to fail independently, the probability that all three are still operating after 7,000 hours is closest to
Mathematics
1 answer:
Scrat [10]3 years ago
7 0

This question not incomplete

Complete Question

The life of a semiconductor laser at a constant power is normally distributed with a mean of 7,000 hours and a standard deviation of 600 hours. If three lasers are used in a product and they are assumed to fail independently, the probability that all three are still operating after 7,000 hours is closest to? Assuming percentile = 95%

Answer:

0.125

Step-by-step explanation:

Assuming for 95%

z score for 95th percentile = 1.645

We find the Probability using z table.

P(z = 1.645) = P( x ≤ 7000)

= P(x<Z) = 0.95

After 7000 hours = P > 7000

= 1 - P(x < 7000)

= 1 - 0.95

= 0.05

If three lasers are used in a product and they are assumed to fail independently, the probability that all three are still operating after 7,000 hours is calculated as:

(P > 7000)³

(0.05)³ = 0.125

You might be interested in
Draw a model to write 2 3/5 as a improper fraction
Andreyy89
13/5
2 3/5
2x5=10
10+3=13
13/5
3 0
3 years ago
I will give brainleist
Pachacha [2.7K]

Answer:

In which one? What is nth?

Step-by-step explanation:

6 0
3 years ago
The number of gallons of water in a large tank at time (t) minutes is given by the function W(t)=160,000-8,000t+t². Find the ave
sergij07 [2.7K]

The number of gallons of water in the tank at t=10 is

... W(10) = 160,000 -10(8000 -10) = 80100

The number of gallons of water in the tank at t=10.5 is

... W(10.5) = 160,000 -10.5(8000 -10.5) = 76110.25

The rate of change over the interval is

... (W(10.5) - W(10))/(10.5 - 10) = (76110.25 - 80100)/(0.5) = -7979.5

The average rate of change in the number of gallons of water in the tank over the interval is -7979.5 gal/min.

The sign is negative, so the amount of water is decreasing.

3 0
3 years ago
What's the slope and speed of plane A and B
deff fn [24]
The slope and speed of Plane A is 375mph and slope and speed for Plane B is 425 mph... so Plane A travels the fastest
6 0
3 years ago
Help. What’s the answer to this problem?
liq [111]

Answer:

C) Yes, it’s a reflection over line f.

Step-by-step explanation:

It’s a reflection over line f.

3 0
2 years ago
Other questions:
  • What is - (<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B3%7D%7B5%7D%20" id="TexFormula1" title=" \frac{3}{5} " alt=" \frac{3}{
    12·1 answer
  • The figure below shows segments PQ and RS which intersect at point t. Segment PR is parallel to segment SQ.
    11·1 answer
  • Find the limit of the function algebraically. limit as x approaches zero of quantity negative six plus x divided by x to the fou
    7·2 answers
  • 2n+5-n evaluate the expression for n=3.
    12·2 answers
  • How do you write 0.253 in another form
    8·1 answer
  • In triangle TUV, Y is the centroid. If YU = 9, find ZY
    7·1 answer
  • A graphics company charges $50 per hour to create a logo plus $250 for the ownership rights of the logo. A private contractor ch
    15·1 answer
  • Help please?? What do I put for the last 2??
    15·2 answers
  • Roberta stood on a 36 in. high chair, then jumped into a
    7·1 answer
  • (5^4)^6 Rewrite using a single exponent
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!